Question

8.

A chain bracelet is found. It looks as though it might be made of either gold or of
copper. When the bracelet is submerged in a graduated cylinder containing water, the
volume of the water rises from 9.2 cm to 11.7 cm3. The bracelet has a mass of 45 g. Is
the bracelet made of gold or copper? (Note: The density of gold is 19.3 g/cm and the
density of copper is 8.92 g/cmº.)

Answer 1

The bracelet is made of gold.

Step-by-step explanation:

The bracelet displaces the water by
`11.7cm^3-9.2cm^3 = 2.5cm^3` and thus has a volume of
`2.5cm^3`. If the bracelet has a mass of 45g, we know that the density of the bracelet is then
`(45g)/(2.5cm^3)`, which can be simplified to
`18(g)/(cm^3)`. This is closer to the density of gold, so it can be assumed that the bracelet is made of gold.